Advanced MathEasy–MediumSimplifying a product plus a constant
Advanced Math practice question
Which expression is equivalent to (x + 6)(x − 6) + 36?
- A. x²Correct
- B. x² + 72
- C. x² + 12x
- D. x² − 72
Answer: A. x²
(x + 6)(x − 6) = x² − 36, and adding 36 leaves x².
Why the other answers are wrong
- B. x² + 72
- x² + 72 adds 36 to x² + 36 (wrong sign on the product's constant).
- C. x² + 12x
- x² + 12x keeps a middle term; the cross terms cancel in (x + 6)(x − 6).
- D. x² − 72
- x² − 72 subtracts 36 instead of adding.
More Advanced Math questions
- Easy–Medium
If f(x) = 2x² − 3, what is f(4)? - Easy–Medium
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Which expression is equivalent to (x + 5)²? - Easy–Medium
For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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